935664 has 40 divisors (see below), whose sum is σ = 2453712. Its totient is φ = 307200.

The previous prime is 935653. The next prime is 935677. The reversal of 935664 is 466539.

It is a happy number.

935664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

935664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4752 + ... + 4944.

2⁹³⁵⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 935664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226856).

935664 is an abundant number, since it is smaller than the sum of its proper divisors (1518048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

935664 is a wasteful number, since it uses less digits than its factorization.

935664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 935664 is about 967.2972655808. The cubic root of 935664 is about 97.8077586361.

The spelling of 935664 in words is "nine hundred thirty-five thousand, six hundred sixty-four".